Answer:
First one is 6
Second one is 4
Step-by-step explanation:
Right on egg
Answer:
a = 14
Step-by-step explanation:
Since QR = QP then the triangle is isosceles and
QS is a perpendicular bisector, thus
RS = SP ← substitute values
3a = a + 28 ( subtract a from both sides )
2a = 28 ( divide both sides by 2 )
a = 14
Answer:
The volume of the space outside the pyramid but inside the prism is 225 cubic centimeters.
Step-by-step explanation:
To find this, you subtract the volume of the pyramid from the volume of the rectangular prism.
The prism and pyramid's bases is 25 cm²
The pyramid's height is 12÷2 or 6 cm
The volume formula for a prism is l×w×h
The volume formula for a pyramid is
×b×h
The area of the prism is 5×5×12 or 300 cm³
The area of the pyramid is
or 75 cm³
300 cm³-75 cm³=225 cm³
The volume outside the pyramid but inside the prism is 225 cm³.
Answer:
Step-by-step explanation:
Givens
Let a = the first number
Let b = the second number
Equations
a + b = 39
b = 1/2 * a + 6
Put the second equation into the first one
a + 1/2 * a + 6 = 39 Simplify the left.
(3/2)a + 6 = 39 Subtract 6 from both sides
(3/2)a + 6 - 6 = 39 - 6 Combine
(3/2)a = 33 Multiply both sides by 2
3a = 33*2
3a = 66 Divide both sides by 3
3a/3 = 66/3
a = 22
b = 1/2 a + 6
a = 22
b = 1/2 * 22 + 6
b = 11 + 6
b = 17
Check
22 + 17 = 39
Answer:
x = -9, -3
Step-by-step explanation:


x = -3, -9